Research Article

ON WEAK SYMMETRIES OF ALMOST KENMOTSU (κ, µ, ν)-SPACES

Volume: 42 Number: 4 April 1, 2013
  • Nesip Aktan
  • Satılmış Balkan
  • Mustafa Yıldırım
EN

ON WEAK SYMMETRIES OF ALMOST KENMOTSU (κ, µ, ν)-SPACES

Abstract

In this paper, we study on weak symmetries of almost Kenmotsu(κ, µ, ν)-spaces. For each α, γ, δ 1-forms and any vector field X weget α + γ + δ =X (κ)κ , if a (2n + 1)-dimensional almost Kenmotsu(κ, µ, ν)-space is weakly symmetric and for each ε, σ, ρ 1-forms weget ε + σ + ρ =X (κ)κ , if a (2n + 1)-dimensional almost Kenmotsu(κ, µ, ν)-space is weakly Ricci symmetric.

Keywords

References

  1. Pitis, G. A remark on Kenmotsu manifolds. Buletinul Universitatii Din Brasov. 30, 1988. De, U.C. and Pathak,G. On 3-dimensional Kenmotsu manifolds. Ind. J. Pure Applied Math. 35 159-165, 2004.
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  3. Binh T.Q., Tamassy, L., De, U. C. and Tarafder, M. Some Remarks on almost Kenmotsu manifolds, Math Pannon. 13, 31-39, 2002.
  4. Bagewadi, C.S. and Venkatesha Some curvature tensor on a Kenmotsu manfold, Tensor, 68, 140-147,2007.
  5. Bagewadi, C.S. and Venkatesha On pseudo projective φ-recurrent Kenmotsu manifolds, Soochow J. of Mathematics 32, 1-7, 2006.
  6. Bagewadi, C.S. and Venkatesha On projective φ-recurrent Kenmotsu manifolds, MSJ,Bangalore 4, 15-21, 2005.
  7. ¨ Ozg¨ ur, C On weakly symmetric Kenmotsu manifolds, Di er. Geom. Dyn. Syt. 8, 204-209, 200 ¨ Ozg¨ ur, C. On generalized recurrent Kenmotsu manifolds, World Applied Sciences Journal 2, 29-33, 2007.
  8. Tamassy L. and Binh T. Q. On weakly symmetric and weakly projective symmetric Riemannian manifolds, Coll. Math. Soc. J. Bolyai, 56, 663-670, 1992.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Nesip Aktan This is me

Satılmış Balkan This is me

Mustafa Yıldırım This is me

Publication Date

April 1, 2013

Submission Date

May 11, 2014

Acceptance Date

-

Published in Issue

Year 2013 Volume: 42 Number: 4

APA
Aktan, N., Balkan, S., & Yıldırım, M. (2013). ON WEAK SYMMETRIES OF ALMOST KENMOTSU (κ, µ, ν)-SPACES. Hacettepe Journal of Mathematics and Statistics, 42(4), 447-453. https://izlik.org/JA35YK78SF
AMA
1.Aktan N, Balkan S, Yıldırım M. ON WEAK SYMMETRIES OF ALMOST KENMOTSU (κ, µ, ν)-SPACES. Hacettepe Journal of Mathematics and Statistics. 2013;42(4):447-453. https://izlik.org/JA35YK78SF
Chicago
Aktan, Nesip, Satılmış Balkan, and Mustafa Yıldırım. 2013. “ON WEAK SYMMETRIES OF ALMOST KENMOTSU (κ, µ, ν)-SPACES”. Hacettepe Journal of Mathematics and Statistics 42 (4): 447-53. https://izlik.org/JA35YK78SF.
EndNote
Aktan N, Balkan S, Yıldırım M (April 1, 2013) ON WEAK SYMMETRIES OF ALMOST KENMOTSU (κ, µ, ν)-SPACES. Hacettepe Journal of Mathematics and Statistics 42 4 447–453.
IEEE
[1]N. Aktan, S. Balkan, and M. Yıldırım, “ON WEAK SYMMETRIES OF ALMOST KENMOTSU (κ, µ, ν)-SPACES”, Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 4, pp. 447–453, Apr. 2013, [Online]. Available: https://izlik.org/JA35YK78SF
ISNAD
Aktan, Nesip - Balkan, Satılmış - Yıldırım, Mustafa. “ON WEAK SYMMETRIES OF ALMOST KENMOTSU (κ, µ, ν)-SPACES”. Hacettepe Journal of Mathematics and Statistics 42/4 (April 1, 2013): 447-453. https://izlik.org/JA35YK78SF.
JAMA
1.Aktan N, Balkan S, Yıldırım M. ON WEAK SYMMETRIES OF ALMOST KENMOTSU (κ, µ, ν)-SPACES. Hacettepe Journal of Mathematics and Statistics. 2013;42:447–453.
MLA
Aktan, Nesip, et al. “ON WEAK SYMMETRIES OF ALMOST KENMOTSU (κ, µ, ν)-SPACES”. Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 4, Apr. 2013, pp. 447-53, https://izlik.org/JA35YK78SF.
Vancouver
1.Nesip Aktan, Satılmış Balkan, Mustafa Yıldırım. ON WEAK SYMMETRIES OF ALMOST KENMOTSU (κ, µ, ν)-SPACES. Hacettepe Journal of Mathematics and Statistics [Internet]. 2013 Apr. 1;42(4):447-53. Available from: https://izlik.org/JA35YK78SF